I need help on function!

determine algebraically whether the given function is even, odd or neither
f(x)=-2x^4+3x^2
please step by step so i can understand it. thank you

if
f(-x) = f(x), then it is even

if
f(-x) = -f(x), then it is odd

otherwise, it is neither

so
f(-x) = -2(-x)^4 + 3(-x)^2
        = -2x^4 + 3x^2
thus
it is even

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